非线性m点边值问题正解的新结果

New results for positive solutions of nonlinear $m$-point boundary value problem

摘要:

本文研究非线性$m$点边值问题正解的存在性.利用Leary-Schauder不动点定理，本文获得正解存在性的条件. 这个结果弱化了已有的相关结果.

Abstract:

In this paper, we investigate the existence of positive solutions for second-order nonlinear $m$-point boundary value problems. By using the Leray-Schauder fixed point theorem, we give some sufficient conditions for the existence of positive solutions, which improve the known results.